Question

A recent survey found that the edges ages of workers in a factory as follow.

If a person is selected at random, find the probability that the person is
A. 40 yr or more
B. under 40 yr
C. having age from 30-39 year.
D. under 60 but over 39 year.

Answer 1

Total number of worker in a factory.
n(S)=38+27+86+46+3=200
i) Number of persons selected at the edge of 40 yr or more,
`P(E_(1))=86+46+3=135`
Probability that the persons selected at the age of 40 yr or more,
`P(E_(1))=(n(E_(1)))/(n(S))=135/200=0.675`
Hence, the probability that the person selected at the age of 40 yr or more is 0.675.
ii) Number of persons selected under the age of 40 yr
`(n(E_(2)))=38+27=65`
`therefore` Probability that the persons selected under the age of 40 yr.
`P(E_(2))=n(E_(2))/n(S)=65/200=0.325`
Hence, the probability that the person selected under the age of 40 yr is 0.325.
iii) Number of persons selected having age from 30 to 39 yr, `n(E_(3))=27`
`therefore` Probability that the person selected having age from 30 to 39 yr,
`P(E_(3))=(n(E_(3)))/(n(S))=27/200=0.135`
Hence, the probability that the person selected having age from 30 to 39 yr is 0.135.
iv) Number of persons selected having age under 60 but over 39 yr.
`n(E_(4))=86+46=132`
`therefore` Probability that the person selected having age under 60 but over 39 yr.
`P(E_(4))=(n(E_(4)))/(n(S))=132/200=0.66`
Hence, the probability that the person selected having age under 60 but over 39 yr is 0.66